33909 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 22176.

The previous prime is 33893. The next prime is 33911. The reversal of 33909 is 90933.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33909 - 2⁴ = 33893 is a prime.

It is a super-2 number, since 2×33909² = 2299640562, which contains 22 as substring.

It is a Curzon number.

33909 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2³³⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

33909 is a deficient number, since it is larger than the sum of its proper divisors (12171).

33909 is a wasteful number, since it uses less digits than its factorization.

33909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 33909 is about 184.1439654184. The cubic root of 33909 is about 32.3671897699.

Adding to 33909 its sum of digits (24), we get a palindrome (33933).

The spelling of 33909 in words is "thirty-three thousand, nine hundred nine".